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Finding the Fourth Proportional to 2,907.84, 4,014.72 and 2,120.52

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Solution

The fourth proportional to 2,907.84, 4,014.72 and 2,120.52 is: 2,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.84 : 4,014.72 = 2,120.52 : x
  2. Step 2: Convert to fraction form
    2,907.84/4,014.72 = 2,120.52/x
  3. Step 3: Cross multiply
    2,907.84x = 4,014.72 × 2,120.52
  4. Step 4: Simplify right side
    2,907.84x = 8,513,294.05
  5. Step 5: Solve for x
    x = 8,513,294.05/2,907.84
  6. Step 6: Final answer
    x = 2,927.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.